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Finding the Fourth Proportional to 38,149.50, 57,224.24 and 11,854.26

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Solution

The fourth proportional to 38,149.50, 57,224.24 and 11,854.26 is: 17,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.50 : 57,224.24 = 11,854.26 : x
  2. Step 2: Convert to fraction form
    38,149.50/57,224.24 = 11,854.26/x
  3. Step 3: Cross multiply
    38,149.50x = 57,224.24 × 11,854.26
  4. Step 4: Simplify right side
    38,149.50x = 678,351,019.26
  5. Step 5: Solve for x
    x = 678,351,019.26/38,149.50
  6. Step 6: Final answer
    x = 17,781.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.